Interface solitons in locally linked two-dimensional lattices
Apstrakt
Existence, stability, and dynamics of soliton complexes, centered at the site of a single transverse link connecting two parallel two-dimensional (2D) lattices, are investigated. The system with the onsite cubic self-focusing nonlinearity is modeled by the pair of discrete nonlinear Schrodinger equations linearly coupled at the single site. Symmetric, antisymmetric, and asymmetric complexes are constructed by means of the variational approximation (VA) and numerical methods. The VA demonstrates that the antisymmetric soliton complexes exist in the entire parameter space, while the symmetric and asymmetric modes can be found below a critical value of the coupling parameter. Numerical results confirm these predictions. The symmetric complexes are destabilized via a supercritical symmetry-breaking pitchfork bifurcation, which gives rise to stable asymmetric modes. The antisymmetric complexes are subject to oscillatory and exponentially instabilities in narrow parametric regions. In bistab...ility areas, stable antisymmetric solitons coexist with either symmetric or asymmetric ones.
Izvor:
Physical Review E, 2011, 84, 2Finansiranje / projekti:
- Fotonika mikro i nano strukturnih materijala (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
DOI: 10.1103/PhysRevE.84.026602
ISSN: 1539-3755; 1550-2376
PubMed: 21929123
WoS: 000293560200003
Scopus: 2-s2.0-80051651440
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Petrović, M. D. AU - Gligorić, Goran AU - Maluckov, Aleksandra AU - Hadžievski, Ljupčo AU - Malomed, Boris A. PY - 2011 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4441 AB - Existence, stability, and dynamics of soliton complexes, centered at the site of a single transverse link connecting two parallel two-dimensional (2D) lattices, are investigated. The system with the onsite cubic self-focusing nonlinearity is modeled by the pair of discrete nonlinear Schrodinger equations linearly coupled at the single site. Symmetric, antisymmetric, and asymmetric complexes are constructed by means of the variational approximation (VA) and numerical methods. The VA demonstrates that the antisymmetric soliton complexes exist in the entire parameter space, while the symmetric and asymmetric modes can be found below a critical value of the coupling parameter. Numerical results confirm these predictions. The symmetric complexes are destabilized via a supercritical symmetry-breaking pitchfork bifurcation, which gives rise to stable asymmetric modes. The antisymmetric complexes are subject to oscillatory and exponentially instabilities in narrow parametric regions. In bistability areas, stable antisymmetric solitons coexist with either symmetric or asymmetric ones. T2 - Physical Review E T1 - Interface solitons in locally linked two-dimensional lattices VL - 84 IS - 2 DO - 10.1103/PhysRevE.84.026602 ER -
@article{ author = "Petrović, M. D. and Gligorić, Goran and Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.", year = "2011", abstract = "Existence, stability, and dynamics of soliton complexes, centered at the site of a single transverse link connecting two parallel two-dimensional (2D) lattices, are investigated. The system with the onsite cubic self-focusing nonlinearity is modeled by the pair of discrete nonlinear Schrodinger equations linearly coupled at the single site. Symmetric, antisymmetric, and asymmetric complexes are constructed by means of the variational approximation (VA) and numerical methods. The VA demonstrates that the antisymmetric soliton complexes exist in the entire parameter space, while the symmetric and asymmetric modes can be found below a critical value of the coupling parameter. Numerical results confirm these predictions. The symmetric complexes are destabilized via a supercritical symmetry-breaking pitchfork bifurcation, which gives rise to stable asymmetric modes. The antisymmetric complexes are subject to oscillatory and exponentially instabilities in narrow parametric regions. In bistability areas, stable antisymmetric solitons coexist with either symmetric or asymmetric ones.", journal = "Physical Review E", title = "Interface solitons in locally linked two-dimensional lattices", volume = "84", number = "2", doi = "10.1103/PhysRevE.84.026602" }
Petrović, M. D., Gligorić, G., Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2011). Interface solitons in locally linked two-dimensional lattices. in Physical Review E, 84(2). https://doi.org/10.1103/PhysRevE.84.026602
Petrović MD, Gligorić G, Maluckov A, Hadžievski L, Malomed BA. Interface solitons in locally linked two-dimensional lattices. in Physical Review E. 2011;84(2). doi:10.1103/PhysRevE.84.026602 .
Petrović, M. D., Gligorić, Goran, Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Interface solitons in locally linked two-dimensional lattices" in Physical Review E, 84, no. 2 (2011), https://doi.org/10.1103/PhysRevE.84.026602 . .